D.J. Saunders

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All published works

Action	Title	Year	Authors
+ PDF Chat	Covariant derivatives for Ehresmann connections	2022	G. E. Prince D.J. Saunders
+ PDF Chat	Linear connections and shape maps for second order ODEs with and without constraints	2021	G. E. Prince Marta Farré Puiggalí D.J. Saunders David Martı́n de Diego
+	Linear connections and shape maps for second order ODEs\\ with and without constraints	2021	G. E. Prince Marta Farré Puiggalí D.J. Saunders David Martı́n de Diego
+	Vertical symmetries of Cartan geometries	2017	D.J. Saunders
+ PDF Chat	Homogeneous variational problems and Lagrangian sections	2016	D.J. Saunders
+	Lagrangian and Hamiltonian Duality	2016	Olga Rossi D.J. Saunders
+	Shape maps for second order partial differential equations	2016	Olga Rossi D.J. Saunders G. E. Prince
+	Tangent bundle geometry induced by second order partial differential equations	2016	D.J. Saunders Olga Rossi G. E. Prince
+	On Null Lagrangians	2015	D.J. Saunders
+	Shape maps for second order partial differential equations	2015	Olga Rossi D.J. Saunders G. E. Prince
+	Tangent bundle geometry induced by second order partial differential equations	2014	D.J. Saunders Olga Rossi G. E. Prince
+	Hilbert forms for a Finsler metrizable projective class of sprays	2012	M. Crampin Tom Mestdag D.J. Saunders
+	The multiplier approach to the projective Finsler metrizability problem	2012	M. Crampin Tom Mestdag D.J. Saunders
+	Double structures and jets	2011	D.J. Saunders
+	Cartan–Lepage forms in geometric mechanics	2011	Demeter Krupka Olga Krupková D.J. Saunders
+	Homogeneity and projective equivalence of differential equation fields	2011	M. Crampin D.J. Saunders
+	Double structures and jets	2011	D.J. Saunders
+	Thirty years of the inverse problem in the calculus of variations	2010	D.J. Saunders
+	The fundamental form of a homogeneous Lagrangian in two independent variables	2010	D.J. Saunders M. Crampin
+	Holonomy of a class of bundles with fibre metrics	2010	M. Crampin D.J. Saunders
+ PDF Chat	Some concepts of regularity for parametric multiple-integral problems in the calculus of variations	2009	M. Crampin D.J. Saunders
+ PDF Chat	Homotopy operators for the variational bicomplex, representations of the Euler-Lagrange complex, and the Helmholtz-Sonin conditions	2009	M. Crampin D.J. Saunders
+ PDF Chat	Homogeneous variational complexes and bicomplexes	2009	D.J. Saunders
+	The Cartan form, 20 years on	2008	D.J. Saunders
+	Fefferman-type metrics and the projective geometry of sprays in two dimensions	2007	M. Crampin D.J. Saunders
+ PDF Chat	Affine and projective transformations of Berwald connections	2007	M. Crampin D.J. Saunders
+	On the geometry of higher-order ordinary differential equations and the Wuenschmann invariant	2007	Michael Crampin D.J. Saunders
+	The fundamental form of a homogeneous Lagrangian in two independent variables	2007	D.J. Saunders M. Crampin
+	How to recover a Lagrangian using the homogeneous variational bicomplex	2006	D.J. Saunders
+	Adjoint symmetries and the generation of first integrals in non-holonomic mechanics	2005	W. Sarlet D.J. Saunders F. Cantrijn
+	The fundamental form of a second-order homogeneous Lagrangian in two variables	2005	D.J. Saunders
+	Homogeneous variational complexes and bicomplexes	2005	D.J. Saunders
+ PDF Chat	Cartan’s concept of duality for second-order ordinary differential equations	2004	M. Crampin D.J. Saunders
+	On projective connections: the general case	2004	M. Crampin D.J. Saunders
+	Homogeneous lagrangian systems	2003	D.J. Saunders
+	On the inverse problem for even-order ordinary differential equations in the higher-order calculus of variations	2002	D.J. Saunders
+	Variational problems on Lie algebroids	2001	D.J. Saunders M. Crampin
+	A differential geometric setting for mixed first- and second-order ordinary differential equations	1997	W. Sarlet F. Cantrijn D.J. Saunders
+	The Geometry of Jet Bundles	1989	D.J. Saunders
+	Computer graphics and animations for teaching probability and statistics	1986	D.J. Saunders
+	The sine-Gordon equation, Tchebyshev nets, and harmonic maps	1986	M. Crampin D.J. Saunders
+ PDF Chat	Dispersive ordering of distributions	1984	D.J. Saunders
+ PDF Chat	Dispersive ordering of distributions	1984	D.J. Saunders
+	The central limit theorem	1983	D.J. Saunders

Common Coauthors

Coauthor	Papers Together
M. Crampin	13
G. E. Prince	7
Olga Rossi	5
F. Cantrijn	2
Marta Farré Puiggalí	2
W. Sarlet	2
David Martı́n de Diego	2
Tom Mestdag	2
Michael Crampin	1
Olga Krupková	1
M. Crampin	1
Demeter Krupka	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Hilbert-Caratheodory and Poincare-Cartan forms for higher-order multiple-integral variational problems	2004	Michael Crampin DJ SAUNDERS	6
+	Homogeneous variational complexes and bicomplexes	2005	D.J. Saunders	5
+	The Geometry of Jet Bundles	1989	D.J. Saunders	5
+	A projective theory of affinely connected manifolds	1926	T. Y. Thomas	4
+	A geometrical framework for the study of non-holonomic Lagrangian systems	1995	W. Sarlet F. Cantrijn D. J. Saunders	4
+	The General Geometry of Paths	1927	Jesse Douglas	4
+	On null Lagrangians	2004	M. Crampin D. J. Saunders	4
+	Differential Geometry: Cartan's Generalization of Klein's Erlangen Program	2000	R. W. Sharpe Shiing-Shen Chern	4
+	The projective connections of T.Y. Thomas and J.H.C. Whitehead applied to invariant connections	1995	Craig Roberts	4
+	Theory of Vector-Valued Differential Forms	1956	Alfred Frölicher Albert Nijenhuis	4
+	Linear connections for systems of second-order ordinary differential equations	1996	Michael Crampin Eduardo Martı́nez W. Sarlet	4
+	Complete separability of time-dependent second-order ordinary differential equations	1996	F. Cantrijn W. Sarlet A. Vandecasteele E. Nogueron Martnez	3
+ PDF Chat	The Hamilton-Cartan formalism in the calculus of variations	1973	Hubert Goldschmidt Shlomo Sternberg	3
+	Extension of the classical Cartan form	1984	David Betounes	3
+	A differential geometric setting for mixed first- and second-order ordinary differential equations	1997	W. Sarlet F. Cantrijn D.J. Saunders	3
+	On the Projective and Equi-Projective Geometries of Paths	1925	T. Y. Thomas	3
+	Finiteness of local cohomology modules over rings of small dimension	2011	Michael Crampin	3
+	Derivations of differential forms along the tangent bundle projection	1992	Eduardo Martı́nez José F. Cariñena W. Sarlet	3
+	Geometric, Control and Numerical Aspects of Nonholonomic Systems	2002	Jorge Cortés Monforte	3
+	Higher-order differential equations and higher-order lagrangian mechanics	1986	M. Crampin W. Sarlet F. Cantrijn	3
+	Nonholonomic reduction	1993	Larry Bates Jędrzej Śniatycki	2
+ PDF Chat	Isotropic submanifolds and the inverse problem for mechanical constrained systems	2015	María Barbero-Liñán Marta Farré Puiggalí David Martı́n de Diego	2
+ PDF Chat	Linearization of nonlinear connections on vector and affine bundles, and some applications	2017	Eduardo Martı́nez	2
+	Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity	1986	Olga Krupková	2
+ PDF Chat	A map associated to the Lepagian forms on the calculus of variations in fibred manifolds	1977	Demeter Krupka	2
+	A general Raychaudhuri’s equation for second-order differential equations	2000	Michael Jerie G. E. Prince	2
+ PDF Chat	Three-dimensional Cauchy–Riemann structures and second-order ordinary differential equations	2003	Pawe Nurowski George Sparling	2
+ PDF Chat	New progress in the inverse problem in the calculus of variations	2016	Thoan Do G. E. Prince	2
+	First Integrals and symmetries of nonholonomic systems	2021	Paula Balseiro Nicola Sansonetto	2
+ PDF Chat	The inverse problem in the calculus of variations: new developments	2021	Thoan Do G. E. Prince	2
+ PDF Chat	Hamiltonization of nonholonomic systems and the inverse problem of the calculus of variations	2009	Anthony M. Bloch Oscar E. Fernandez Tom Mestdag	2
+ PDF Chat	Foundations of Differentiable Manifolds and Lie Groups.	1972	C. B. Allendoerfer F. W. Warner	2
+ PDF Chat	Dual jet bundles, Hamiltonian systems and connections	2014	Olga Rossi David Saunders	2
+	On the generalization of symplectic geometry to multiple integrals in the Calculus of Variations	1977	Paul Dedecker	2
+	Dispersive ordering of distributions	1982	Moshe Shaked	2
+ PDF Chat	Projective Metrizability and Formal Integrability	2011	Ioan Bucataru Zoltán Muzsnay	2
+ PDF Chat	Homotopy operators for the variational bicomplex, representations of the Euler-Lagrange complex, and the Helmholtz-Sonin conditions	2009	M. Crampin D.J. Saunders	2
+	Symplectic Geometry and Hilbert's Fourth Problem	2005	J.C. Álvarez Paiva	2
+	Foundations of Differential Geometry, Volume I.	1965	F. E. J. Linton Shôshichi Kobayashi Katsumi Nomizu	2
+ PDF Chat	Reduction of almost Poisson brackets and Hamiltonization of the Chaplygin sphere	2009	Luis C. García-Naranjo	2
+ PDF Chat	Structure presque tangente et connexions I	1972	Joseph Grifone	2
+	Hamiltonian field theory	2002	Olga Krupková	2
+ PDF Chat	Projective connections associated with second-order ODEs	2003	Ezra T. Newman Paweł Nurowski	2
+ PDF Chat	Sur les variétés à connexion projective	1924	Élie Cartan	2
+ PDF Chat	Differential Geometry from Differential Equations	2001	Simonetta Frittelli Carlos N. Kozameh Ezra T. Newman	2
+ PDF Chat	Dispersive ordering results	1983	James Lynch Gillian Mimmack Frank Proschan	2
+	The multiplier approach to the projective Finsler metrizability problem	2012	M. Crampin Tom Mestdag D.J. Saunders	2
+	The Large Scale Structure of Space-Time	1973	S. W. Hawking George Ellis	2
+	None	2002	József Szilasi Sz. Vattamány	2
+ PDF Chat	Thomas's Structure Bundle for Conformal, Projective and Related Structures	1994	T. N. Bailey Michael G. Eastwood A. Rod Gover	2